Classical Mechanics

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Work: Rolling a Cart Up a Ramp

CLMECH-NBIRKO

Bob is trying to load a heavy cart ($m = 35.0\:kg$) onto a moving truck. The cart rolls on frictionless wheels and the $2.60\:m$ long ramp of the moving truck is angled at $15.0^\circ$ relative to the (horizontal) ground. Bob pushes the cart with a horizontal force of $96.0\:N$ when rolling it up the ramp.

What is the net work (in $J$) done on the cart when rolling up the ramp?